Congruence and Similarity

Consider the figures shown.

Loading Graph...

a

Are the two triangles congruent, similar or neither?

Congruent

A

Similar

B

Neither

C

b

What is the transformation from triangle $ABC$`A``B``C` to triangle $A'B'C'$`A`′`B`′`C`′?

Dilation

A

Reflection

B

Rotation

C

Translation

D

c

What is the scale factor of the dilation from triangle $ABC$`A``B``C` to triangle $A'B'C'$`A`′`B`′`C`′?

Easy

Approx a minute

Consider the figures shown.

Consider the triangle with vertices at $A$`A`$\left(-3,-2\right)$(−3,−2), $B$`B`$\left(2,1\right)$(2,1) and $C$`C`$\left(3,-3\right)$(3,−3), and the triangle with vertices at $A'$`A`′$\left(-9,-6\right)$(−9,−6), $B'$`B`′$\left(6,3\right)$(6,3) and $C'$`C`′$\left(9,-9\right)$(9,−9).

Consider the quadrilateral with vertices at $A$`A`$\left(-3,-3\right)$(−3,−3), $B$`B`$\left(-3,3\right)$(−3,3), $C$`C`$\left(3,3\right)$(3,3) and $D$`D`$\left(3,-3\right)$(3,−3), and the quadrilateral with vertices at $A'$`A`′$\left(-9,-9\right)$(−9,−9), $B'$`B`′$\left(-9,9\right)$(−9,9), $C'$`C`′$\left(9,9\right)$(9,9) and $D'$`D`′$\left(9,-9\right)$(9,−9).

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Verify, through investigation, the properties of similar triangles